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mathematics. He should have "been given an influential position
at once.
Cantor's material career was that of any of the less eminent
German professors of mathematics. He never achieved his
ambition of a professorship at Berlin, possibly the highest Ger-
man distinction during the period of Cantor's greatest and most
original productivity (1S74-8-4, age twenty-nine to thirty-nine).
All his active professional career was spent at the University of
Halle, a distinctly third-rate institution, where he was
appointed Privatdozent (a lecturer who lives by what fees he can
collect from his students) in 1869 at the age of twenty-four. In
1872 he was made assistant professor and in 1879 - before the
criticism of his work had begun to assume the complexion of a
malicious personal attack on himself - he was appointed full
professor. His earliest teaching experience was in a girl's school
in Berlin. For this curiously inappropriate task he had qualified
himself by listening to dreary lectures on pedagogy by an unin-
spired mathematical mediocrity before securing his state licence
to teach children. More social waste.
Rightly or wrongly, Cantor blamed Kronecker for his failure
to obtain the coveted position at Berlin. The aggressive clan-
nishness of Jews has often been remarked, sometimes as an
argument against employing them in academic work, but it has
not been so generally observed that there is no more vicious
academic hatred than that of one Jew for another when they
disagree on purely scientific matters or when one is jealous or
afraid of another. Gentiles either laugh these hatreds off or go
at them in an efficient, underhand way which often enables
them to accomplish their spiteful ends under the guise of sincere
friendship. When two intellectual Jews fall out they disagree aH
over, throw reserve to the dogs, and do everything in their
power to cut one another's throats or stab one another in the
back. Perhaps after all this is a more decent way of fighting - if
men must fight - than the sanctimonious hypocrisy of the
other. The object of any war is to destroy the enemy, and being
sentimental or chivalrous about the unpleasant business is the
mark of an incompetent fighter. Kronecker was one of the most
competent warriors in the history of scientific controversy;